Pre-Algebra Examples

$(y - 4) (2 y + 3)$

Step 1

Expand $(y - 4) (2 y + 3)$ using the FOIL Method.

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Step 1.1

Apply the distributive property.

$y (2 y + 3) - 4 (2 y + 3)$

Step 1.2

Apply the distributive property.

$y (2 y) + y \cdot 3 - 4 (2 y + 3)$

Step 1.3

Apply the distributive property.

$y (2 y) + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

$y (2 y) + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

Step 2

Simplify and combine like terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Rewrite using the commutative property of multiplication.

$2 y \cdot y + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

Step 2.1.2

Multiply $y$ by $y$ by adding the exponents.

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Step 2.1.2.1

Move $y$ .

$2 (y \cdot y) + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

Step 2.1.2.2

Multiply $y$ by $y$ .

$2 y^{2} + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

$2 y^{2} + y \cdot 3 - 4 (2 y) - 4 \cdot 3$

Step 2.1.3

Move $3$ to the left of $y$ .

$2 y^{2} + 3 \cdot y - 4 (2 y) - 4 \cdot 3$

Step 2.1.4

Multiply $2$ by $- 4$ .

$2 y^{2} + 3 y - 8 y - 4 \cdot 3$

Step 2.1.5

Multiply $- 4$ by $3$ .

$2 y^{2} + 3 y - 8 y - 12$

$2 y^{2} + 3 y - 8 y - 12$

Step 2.2

Subtract $8 y$ from $3 y$ .

$2 y^{2} - 5 y - 12$

$2 y^{2} - 5 y - 12$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$